Particle basis of Feigin-Stoyanovsky's type subspaces of level one $\tilde{\mathfrak{sl}}_{\ell+1}(\C)$-modules

Goran Trupčević

Vol. 20 No. 2 (2015)

Regular Articles

Particle basis of Feigin-Stoyanovsky's type subspaces of level one $\tilde{\mathfrak{sl}}_{\ell+1}(\C)$-modules

Published 2015-10-02

Goran Trupčević

Goran Trupčević
Faculty of Teacher Education, University of Zagreb

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Abstract

We construct particle basis for Feigin-Stoyanovsky's type subspaces of level $1$ standard $\tilde{\mathfrak{sl}}_{\ell+1}(\C)$-modules. From the description we obtain character formulas.

Keywords

affine Lie algebras, principal subspaces, combinatorial basis, character formulas

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